Abstract
We demonstrate that recent angle-resolved photoemission spectroscopy experiments provide strong evidence for the existence of two competing topological superconducting phases in ${\mathrm{FeSe}}_{0.45}{\mathrm{Te}}_{0.55}$. The coupling of their underlying microscopic mechanisms---one based on a three-dimensional topological insulator, one based on two-dimensional superconductivity---stabilizes topological superconductivity over a wide range of parameters, and gives rise to two disjoint topological regions in the phase diagram of ${\mathrm{FeSe}}_{0.45}{\mathrm{Te}}_{0.55}$. We show that the topological origin of these regions can be identified by considering the form of Majorana edge modes at domain walls.
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